Dolfi定理的Brauer形式

武惠俊; 靳平

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Dolfi定理的Brauer形式

更新时间：2026-09-14

- Dolfi定理的Brauer形式
- Dolfi定理的Brauer形式
- Issue 2, (2006)
- 作者机构：
  
  山西大学数学科学学院
- 作者简介：
- 基金信息：
- DOI：
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- Published：2006
- 稿件说明：
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武惠俊, 靳平. Dolfi定理的Brauer形式[J]. 2006, (2).
DOI：

武惠俊, 靳平. Dolfi定理的Brauer形式[J]. 2006, (2). DOI：

摘要

给定一个p-可解群G以及G的一个关于该素数p的不可约B rauer特征标χ.证明了χ在G的任意一个子群N上的限制的不可约分量的次数可被N及其在G中的正规化子满足的条件所控制

从而把D o lfi定理从复特征标推广到B rauer特征标情形

并得到了p-可解群中关于B rauer特征标的C lifford定理的某种推广.

Abstract

Given a p-solvable group G and an irreducible Brauer character χ of G with respect to the prime p.It is proved in this paper that the degrees of irreducible constituents of the restriction of χ to an arbitrary subgroup N in G can be controlled by some conditions on N and on the normalizer of N in G.This finding has not only promoted Dolfi theorem from complex characters to Brauer characters

it has also generalized Clifford theorem on Brauer characters in p-solvable groups.

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